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Finding the Third Proportional to 434,440 and 672,680

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Solution

The third proportional to 434,440 and 672,680 is: 1,041,567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,440 : 672,680 = 672,680 : x
  2. Step 2: Convert to fraction form
    434,440/672,680 = 672,680/x
  3. Step 3: Cross multiply
    434,440x = 672,680 × 672,680
  4. Step 4: Simplify right side
    434,440x = 452,498,382,400
  5. Step 5: Solve for x
    x = 452,498,382,400/434,440
  6. Step 6: Final answer
    x = 1,041,567.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.